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Finding the Fourth Proportional to 4,976.18, 7,459.79 and 1,900.34

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Solution

The fourth proportional to 4,976.18, 7,459.79 and 1,900.34 is: 2,848.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,976.18 : 7,459.79 = 1,900.34 : x
  2. Step 2: Convert to fraction form
    4,976.18/7,459.79 = 1,900.34/x
  3. Step 3: Cross multiply
    4,976.18x = 7,459.79 × 1,900.34
  4. Step 4: Simplify right side
    4,976.18x = 14,176,137.33
  5. Step 5: Solve for x
    x = 14,176,137.33/4,976.18
  6. Step 6: Final answer
    x = 2,848.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.